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Finding the Fourth Proportional to 1,205.71, 1,804.62 and 649.63

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Solution

The fourth proportional to 1,205.71, 1,804.62 and 649.63 is: 972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.71 : 1,804.62 = 649.63 : x
  2. Step 2: Convert to fraction form
    1,205.71/1,804.62 = 649.63/x
  3. Step 3: Cross multiply
    1,205.71x = 1,804.62 × 649.63
  4. Step 4: Simplify right side
    1,205.71x = 1,172,326.27
  5. Step 5: Solve for x
    x = 1,172,326.27/1,205.71
  6. Step 6: Final answer
    x = 972.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.